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Directions: Read carefully! When rounding, follow the stated directions.
1. |
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between home plate and second base?
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2. |
A pet cat, Oz, is afraid to come down from the top of the barn. His owner needs to get a ladder to help Oz down. The top of the bar is 36 feet above the ground and the ladder must be placed 10 feet from the base of the barn on a flat, dry surface. Which choice is the shortest length ladder that will be needed to reach Oz?
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3. |
Find DC.
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4. |
Using the Pythagorean Theorem, find the area of an equilateral triangle whose side is 5 units. Find the area to the nearest tenth of a square unit.
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5. |
An otter sees her nest at point A. From her favorite sunning rock, she can either scamper around the pond to the nest (80 meters by 60 meters), or she can swim across the pond to the nest. Due to the shallow water in the pond, the otter can scamper more quickly than she can swim. She scampers at the rate of 30 m/min and she swims at the rate of 20 m/min. Which route is quicker to travel from her sunning spot to the nest - scampering on land or swimming in the pond?
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6. |
The sides of a triangle measure 2.4, 3.2 and 4 units. Is this triangle a right triangle?
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7. |
Students on campus regularly take a short-cut across the library lawn instead of walking around the corner on the sidewalk. How much distance is saved by students cutting across the lawn area?
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8. |
Find the value of x.
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9. |
Given the green trapezoid, labeled as shown.
Find the perimeter of the trapezoid.
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10. |
A spider has taken up residence in a small cardboard box which measures 2 inches by 4 inches by 4 inches. What is the length, in inches, of a straight spider web that will carry the spider from the lower right front corner of the box to the upper left back corner of the box?
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